The complexity of linearly constrained (nonconvex) quadratic programmi
ng is analyzed within the framework of real number models, namely the
one of Blum, Shub, and Smale and its modification recently introduced
by Koiran (''weak BSS-model''), In particular we show that this proble
m is not NP-complete in the Koiran setting. Applications to the (full)
BSS-model are discussed.